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Finding the Fourth Proportional to 9,506.70, 14,247.60 and 5,114.70

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Solution

The fourth proportional to 9,506.70, 14,247.60 and 5,114.70 is: 7,665.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.70 : 14,247.60 = 5,114.70 : x
  2. Step 2: Convert to fraction form
    9,506.70/14,247.60 = 5,114.70/x
  3. Step 3: Cross multiply
    9,506.70x = 14,247.60 × 5,114.70
  4. Step 4: Simplify right side
    9,506.70x = 72,872,199.72
  5. Step 5: Solve for x
    x = 72,872,199.72/9,506.70
  6. Step 6: Final answer
    x = 7,665.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.